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Finding the Fourth Proportional to 98,985.68, 148,446.84 and 32,407.76

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Solution

The fourth proportional to 98,985.68, 148,446.84 and 32,407.76 is: 48,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,985.68 : 148,446.84 = 32,407.76 : x
  2. Step 2: Convert to fraction form
    98,985.68/148,446.84 = 32,407.76/x
  3. Step 3: Cross multiply
    98,985.68x = 148,446.84 × 32,407.76
  4. Step 4: Simplify right side
    98,985.68x = 4,810,829,563.48
  5. Step 5: Solve for x
    x = 4,810,829,563.48/98,985.68
  6. Step 6: Final answer
    x = 48,601.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.